Limits Problems

Hi. I need help. My test is next week, and on it there will be a lot of math stuff including limits. Now, the teacher gave us a few problems to show us what to expect on the test. That was last week. I've been trying to solve these limits:

but without success.

Here's the catch: I can't use l'Hopital's Rule.

I would really appreciate some solutions. Thx in advance.

P.S. You don't have to write the whole solutions, just the general idea.